mathsurgery - Written calculations and checking

All
• Use efficient written methods to add and subtract whole numbers and decimals with up to two places (Y5)
• Refine and use efficient written methods to multiply and divide HTU × U, TU × TU, U.t × U and HTU ÷ U (Y5)
• Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find ¾ of 150 g); interpret the display correctly in the context of measurement (Y5)
• Use efficient written methods to add and subtract integers and decimals, to multiply and divide integers and decimals by a one-digit integer, and to multiply two-digit and three-digit integers by a two-digit integer (Y6)
• Use a calculator to solve problems involving multi-step calculations (Y6)

Most
• Apply routine algorithms
• Estimate, approximate and check working
• Understand and use the rules of arithmetic and inverse operations in the context of positive integers and decimals
• Use the order of operations, including brackets
• Use efficient written methods to add and subtract whole numbers and decimals with up to two places
• Multiply and divide three-digit by two-digit whole numbers; extend to multiplying and dividing decimals with one or two places by single-digit whole numbers
• Carry out calculations with more than one step using brackets and the memory; use the square root and sign change keys
• Enter numbers and interpret the display in different contexts (decimals, percentages, money, metric measures)
• Check results by considering whether they are of the right order of magnitude and by working problems backwards

Some
• Understand and use the rules of arithmetic and inverse operations in the context of integers and fractions
• Use the order of operations, including brackets, with more complex calculations
• Use efficient written methods to add and subtract integers and decimals of any size, including numbers with differing numbers of decimal places
• Use efficient written methods for multiplication & division of integers & decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations
• Carry out more difficult calculations effectively and efficiently using the function keys for sign change, powers, roots and fractions; use brackets and the memory
• Enter numbers and interpret the display in different contexts (extend to negative numbers, fractions, time)
• Make and justify estimates and approximations of calculations
• Select from a range of checking methods, including estimating in context and using inverse operations

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Written calculations and checking